Posted by **Anonymous** on Friday, February 25, 2011 at 2:06pm.

find the general solution to the differential equation.

dy/dx=secxtanx-e^x

- calculus -
**MathMate**, Friday, February 25, 2011 at 2:18pm
The equation is separable, meaning that we can put x and y on each side of the equal sign.

dy/dx=secxtanx-e^x

=>

dy = (sec(x)tan(x) - e^x)dx

Integrate both sides:

∫dy = ∫(sec(x)tan(x) - e^x)dx

=>

y = sec(x)-e^x + C

where C is an integration constant.

differentiate the above solution to confirm that the solution is correct.

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